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81152928 = 2534131239
BaseRepresentation
bin1001101011001…
…00101110100000
312122200222220000
410311210232200
5131233343203
612015220000
72003534313
oct465445640
9178628800
1081152928
114189943a
1223217600
1313a750ac
14aac697a
1571d04a3
hex4d64ba0

81152928 has 120 divisors (see below), whose sum is σ = 241496640. Its totient is φ = 26732160.

The previous prime is 81152927. The next prime is 81152963. The reversal of 81152928 is 82925118.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 81152892 and 81152901.

It is not an unprimeable number, because it can be changed into a prime (81152927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339433 + ... + 339671.

It is an arithmetic number, because the mean of its divisors is an integer number (2012472).

Almost surely, 281152928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81152928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120748320).

81152928 is an abundant number, since it is smaller than the sum of its proper divisors (160343712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81152928 is a wasteful number, since it uses less digits than its factorization.

81152928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 375 counting only the distinct ones).

The product of its digits is 11520, while the sum is 36.

The square root of 81152928 is about 9008.4919936691. The cubic root of 81152928 is about 432.9469966252.

The spelling of 81152928 in words is "eighty-one million, one hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 131 144 162 216 239 262 288 324 393 432 478 524 648 717 786 864 956 1048 1179 1296 1434 1572 1912 2096 2151 2358 2592 2868 3144 3537 3824 4192 4302 4716 5736 6288 6453 7074 7648 8604 9432 10611 11472 12576 12906 14148 17208 18864 19359 21222 22944 25812 28296 31309 34416 37728 38718 42444 51624 56592 62618 68832 77436 84888 93927 103248 113184 125236 154872 169776 187854 206496 250472 281781 309744 339552 375708 500944 563562 619488 751416 845343 1001888 1127124 1502832 1690686 2254248 2536029 3005664 3381372 4508496 5072058 6762744 9016992 10144116 13525488 20288232 27050976 40576464 81152928